Answer: A) -4
================================================
Explanation:
The 3^0 in the denominator is equal to 1. Any nonzero number raised to an exponent of 0 is always 1. So this equation x^0 = 1 is true when x is nonzero.
This allows us to simplify to the equation 3^x = 1/81
Note how 81 = 3^4. Taking the reciprocal of 81 means the exponent goes from positive to negative. So 3^(-4) = 1/81. The rule is x^(-k) = 1/( x^k ). We could use logarithms to solve 3^x = 1/81.
Answer:
Step-by-step explanation:
b , n, and a are variables so you cant solve but can be put in an equation which is b+a/n
Given is rectangle with perimeter = 54 centimeters and area = 176 squared centimeters.
Let's consider the length of rectangle = L and width of rectangle = W.
We know the following formulas for rectangle :-
Perimeter = 2 x (L + W)
Area = L x W
So we have 2 x (L + W) = 54 and L x W = 176.
L + W = 27 and L x W = 176
We need to find two positive integers such that their sum is 27 and product is 176.
Using trial and error, we have two such positive integers such that 11 + 16 = 27 and 11 x 16 = 176.
So, the dimensions of rectangle would be 11cm x 16cm.
Hence, option A is correct i.e. 11 cm by 16 cm.
Answer: 8%
Step-by-step explanation:
Original Perimeter of the rectangle is:
= 2 * ( Length * Width)
= 2 * (20 + 30)
= 100 cm
The length increased by 10%. It therefore increased to:
= 30 * ( 1 + 10%)
= 30 * 1.1
= 33 cm
The width increased by 5%. It increased to:
= 20 * ( 1 + 5%)
= 21 cm
New Perimeter is therefore:
= 2 * ( 33 + 21)
= 108 cm
Percentage increase in perimeter is:
= (New perimeter - old) / old perimeter
= (108 - 100) / 100
= 8%